Name
Abstract | ||
|---|---|---|
In this paper, we study the existence and bifurcation of peakon and anti-peakon to the n-degree b-equation with b > 1 and positive integer n. Using qualitative theory and bifurcation method of dynamical systems, for positive wave speed we confirm the following properties:(1) When n = 1, the equation has peakon, but no anti-peakon.(2) When n >= 2, the equation has not only peakon but also anti-peakon. There is a bifurcation wave speed for peakon and anti-peakon.(3) When n is even, there exists a maximum wave speed for peakon.(4) When n is odd, there is no maximum wave speed for peakon. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1142/S0218127418500141 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Keywords | Field | DocType |
Bifurcation, peakon and anti-peakon, phase portraits, n-degree b-equation | Integer,Mathematical analysis,Peakon,Dynamical systems theory,Phase portrait,Mathematics,Wave speed,Bifurcation | Journal |
Volume | Issue | ISSN |
28 | 1 | 0218-1274 |
Citations | PageRank | References |
0 | 0.34 | 11 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jiaopeng Yang | 1 | 0 | 0.68 |
| Zongguang Li | 2 | 0 | 0.68 |
| Zhengrong Liu | 3 | 25 | 9.02 |